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42494588928 = 2113311193677
BaseRepresentation
bin100111100100110111…
…111111100000000000
311001200112001210012000
4213210313333200000
51144012103321203
631304410304000
73033025021551
oct474467774000
9131615053160
1042494588928
11170270a6690
12829b428000
134012b38a9c
1420b1a10328
15118a9e44a3
hex9e4dff800

42494588928 has 384 divisors, whose sum is σ = 144589536000. Its totient is φ = 12196085760.

The previous prime is 42494588923. The next prime is 42494588933. The reversal of 42494588928 is 82988549424.

42494588928 is a `hidden beast` number, since 4 + 2 + 49 + 4 + 588 + 9 + 2 + 8 = 666.

42494588928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42494588923) and next prime (42494588933).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42494588923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11555026 + ... + 11558702.

It is an arithmetic number, because the mean of its divisors is an integer number (376535250).

Almost surely, 242494588928 is an apocalyptic number.

42494588928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42494588928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72294768000).

42494588928 is an abundant number, since it is smaller than the sum of its proper divisors (102094947072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42494588928 is a wasteful number, since it uses less digits than its factorization.

42494588928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3712 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 42494588928 in words is "forty-two billion, four hundred ninety-four million, five hundred eighty-eight thousand, nine hundred twenty-eight".